Oscillation criteria for functional dynamic equations with nonlinearities given by Riemann-Stieltjes integral
type: Item
instance of: scholarly article
title: Oscillation criteria for functional dynamic equations with nonlinearities given by Riemann-Stieltjes integral
zbMATH Open document ID: 1474.34456
DOI: 10.1155/2014/697526
author: Taher S. Hassan
author: Yuangong Sun
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: We present new oscillation criteria for the second order nonlinear dynamic equation \([r(t) \phi_\gamma(x^{\Delta}(t))]^{\Delta} + q_0(t) \phi_\gamma(x(g_0(t))) + \int_a^b q(t, s) \phi_{\alpha(s)}(x(g(t, s))) \Delta \zeta(s) = 0\) under mild assumptions. Our results generalize and improve some known results for oscillation of second order nonlinear dynamic equations. Several examples are worked out to illustrate the main results.
Mathematics Subject Classification ID: 34K11
Mathematics Subject Classification ID: 26A42
Mathematics Subject Classification ID: 34N05
zbMATH DE Number: 7022902
Wikidata QID: Q59040710
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/697526
OpenAlex ID: W2131646026
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description: scientific article; zbMATH DE number 7022902